CVP reproduce

engineering.uncertainty.type_b_nu

Independent re-run pack: fixed input vectors, O3 expected values, oracle version, commands, and the last result summary. This is how a reader moves from “CalculatorX says it passed” to “I can reproduce why it passed.”

Reproduce JSON CVP Manifest O3 table Generator REST checker Calculator

Identity

Calculation version, protocol version, and evidence revision are distinct.

Calculation version: 1.0.0
CVP protocol: 1.0.0-proposed · proposed
Evidence revision: 2026-09-16.o2-o3
Oracle: O3 · mpmath 1.4.1 · 80 dps
Generator: type-b-nu-mpmath-o3 · seed 20260916.type-b-nu-o3
Table SHA-256: 5df02b81ce3ba86dff9a8c8250667e83c67340870bd77a6a28eddfc632cfda7a

Numerical claim

O3 PASS is a tabulated-vector claim, not a whole-domain proof.

O2: GUM G.4.2 ν = ½(u/σ(u))² vs separate-module identities (≤2 ULP). Not Type B u_B, not Welch ν_eff, not U=k·u_c. ≤2 ULP vs O3 applies only to the published tabulated G.4.2 vectors (GUM 25%, infinite, 10%, aliases, scale, σ(u)/u=0.5). It is not a whole-domain guarantee and does not cover Welch ν_eff or U=k·u_c.

Last O3 run 8 / 8
Max error observed 1 ULP
Threshold ≤ 2 ULP

Commands

Regenerate the table from the public generator. Independent REST check needs only this page's reproduce.json plus stdlib Python — no repo clone and no mpmath. The CVP runner remains a maintainer command.

Regenerate O3 table: python3 generate-type-b-nu-o3.py after downloading the public generator next to the table
Repo maintainer path: python3 scripts/lib/cvp/oracles/generate-type-b-nu-o3.py
Independent REST check: Compare POST /api/v1/calc/type-b-nu against /developers/cvp/reproduce/type-b-nu-o3-tables.json after downloading check-math-o3-rest.py next to type-b-nu-o3-tables.json (or pass --reproduce reproduce.json)
Re-run CVP: npm run cvp:run -- --capability engineering.uncertainty.type_b_nu
REST check: POST https://www.calculatorx.com/api/v1/calc/type-b-nu with a tabulated input from the table below

Re-running the generator without changing seed or inputs should reproduce table SHA-256 5df02b81ce3ba86dff9a8c8250667e83c67340870bd77a6a28eddfc632cfda7a. Compare each expected_f64 to the production result within the declared ULP threshold.

Tabulated vectors

Every O3 vector used for the ≤2 ULP claim. Expected values come from the published mpmath table, not from the implementation under test.

ID	Kind	Inputs	Expected (f64)	Actual	ULP	Status
`o3-gum25`	finite	`{"u":2,"sigma_u":0.5}`	{"oracle_layer":"analytic","infinite":false,"nu":8,"rel":0.25}	{"nu":8,"rel":0.25,"u":2,"sigma_u":0.5,"infinite":false}	0	PASS
`o3-inf`	infinite	`{"u":1,"sigma_u":0}`	{"oracle_layer":"analytic","infinite":true,"nu":null,"rel":0}	{"nu":null,"rel":0,"u":1,"sigma_u":0,"infinite":true}	0	PASS
`o3-10pct`	finite	`{"u":1,"sigma_u":0.1}`	{"oracle_layer":"analytic","infinite":false,"nu":50,"rel":0.1}	{"nu":49.99999999999999,"rel":0.1,"u":1,"sigma_u":0.1,"infinite":false}	1	PASS
`o3-alias`	alias	`{"u_B":2,"su":0.5}`	{"oracle_layer":"analytic","infinite":false,"nu":8,"rel":0.25}	{"nu":8,"rel":0.25,"u":2,"sigma_u":0.5,"infinite":false}	0	PASS
`o3-scale`	finite	`{"u":4,"sigma_u":1}`	{"oracle_layer":"analytic","infinite":false,"nu":8,"rel":0.25}	{"nu":8,"rel":0.25,"u":4,"sigma_u":1,"infinite":false}	0	PASS
`o3-half`	finite	`{"u":2,"sigma_u":1}`	{"oracle_layer":"analytic","infinite":false,"nu":2,"rel":0.5}	{"nu":2,"rel":0.5,"u":2,"sigma_u":1,"infinite":false}	0	PASS
`o3-ui`	alias	`{"u_i":2,"delta_u":0.5}`	{"oracle_layer":"analytic","infinite":false,"nu":8,"rel":0.25}	{"nu":8,"rel":0.25,"u":2,"sigma_u":0.5,"infinite":false}	0	PASS
`o3-tight`	finite	`{"u":10,"sigma_u":0.05}`	{"oracle_layer":"analytic","infinite":false,"nu":20000,"rel":0.005}	{"nu":20000,"rel":0.005,"u":10,"sigma_u":0.05,"infinite":false}	0	PASS